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21287648733316 = 2272312106312
BaseRepresentation
bin1001101011100011010101…
…01111011010100010000100
32210101002010211201121020021
410311301222233122202010
510242234101033431231
6113135224423144524
74324660531455400
oct465615257324204
983332124647207
1021287648733316
11686804a818809
1224798325a5144
13bb5555538a44
145384832ac100
1526db197a1811
hex135c6abda884

21287648733316 has 81 divisors (see below), whose sum is σ = 44782798988151. Its totient is φ = 8828148243600.

The previous prime is 21287648733301. The next prime is 21287648733427. The reversal of 21287648733316 is 61333784678212.

The square root of 21287648733316 is 4613854.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2002407321 + ... + 2002417951.

Almost surely, 221287648733316 is an apocalyptic number.

21287648733316 is the 4613854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21287648733316

21287648733316 is an abundant number, since it is smaller than the sum of its proper divisors (23495150254835).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21287648733316 is an frugal number, since it uses more digits than its factorization.

21287648733316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21342 (or 10671 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 61.

The spelling of 21287648733316 in words is "twenty-one trillion, two hundred eighty-seven billion, six hundred forty-eight million, seven hundred thirty-three thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 961 1519 1922 3038 3844 6076 6727 10631 13454 21262 26908 42524 47089 74417 94178 148834 188356 297668 329561 520919 659122 1041838 1318244 2083676 2306927 4613854 9227708 10216391 16148489 20432782 32296978 40865564 64593956 71514737 113018161 143029474 226036322 286058948 452072644 500603159 791127127 1001206318 1582254254 2002412636 3164508508 3503562991 5537889889 7007125982 11075779778 14014251964 22151559556 24524940937 49049881874 98099763748 108610452721 171674586559 217220905442 343349173118 434441810884 686698346236 760273169047 1520546338094 3041092676188 5321912183329 10643824366658 21287648733316